# What is the next number in the sequence 625, 25, ____?

Sep 2, 2015

Probably the next number is intended to be $5$, but many solutions are possible.

#### Explanation:

Since $\sqrt{625} = 25$
and $\sqrt{25} = 5$
$5$ is a possible answer for the "next number"

However $625 - 600 = 25$
and $25 - 600 = - 575$
so $- 575$ is also a possibility.

Actually, if you are willing to work with more complex transformations, any value could be justified as the "next number".